Having just returned from the apparent world premier, I can assure you that if you are a fan of anime with compelling stories, well constructed plots, and a suitable amount of intrigue, this film is most definitely not for you.
I'm sure the original story is as nuanced and engrossing as the reputation of its author would suggest. However, what the director of this film has managed to cram into these (approximate) 90 minutes is not so much a tale of psychic rivals and their attempts to impact history as it is a mishmash of awkward, stereotypically 'anime-ish' relationships and overt use of inanely pretty scenery and characters. The first 20 minutes of the film are unnecessarily accompanied by the constant falling of cherry blossom, for example.
Indeed, in making use of as much cliché and anime trope as he could muster, the director completely destroyed any semblance of an engaging story line, reducing the plot to a series of awkward encounters, embarrassing emotional confessions (that see the constant and mind numbing use of anime's favourite phrase), failed philosophical musing, and out-of context and particularly unmindful quoting of Shakespeare (which seems to, of late, be quite the fashion in anime).
So, yes, if you enjoy anime simply for awkward teenage crushes and angst, as well as cute characters and pretty images, then you will likely enjoy this. Anyone looking for a tale as touching and well constructed as the likes of "The girl who leapt through time" or "Millennium actress" should look elsewhere.